What is ln(xsqrt(x^2+y^2)) ?

The solution to ln(xsqrt(x^2+y^2)) is ln(x)+ln(sqrt(x^2+y^2))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln(xsqrt(x^2+y^2))

simplify

ln (x x^{2} + y^{2})

ln (x) + ln (x^{2} + y^{2})

Solution steps

ln (x x^{2} + y^{2})

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

ln (x x^{2} + y^{2}) = ln (x) + ln (x^{2} + y^{2})

= ln (x) + ln (x^{2} + y^{2})

ln (\frac{x - 1}{x}) + ln (\frac{x}{x + 1}) - ln (x^{2} - 1)

\frac{1}{3} lo g_{2} (\frac{1}{3}) + \frac{2}{3} lo g_{2} (\frac{2}{3})

lo g_{10} (\frac{1 + x}{1 - x})

- \frac{1}{3} \cdot lo g_{2} (\frac{1}{3}) - \frac{2}{3} \cdot lo g_{2} (\frac{2}{3})

What is ln(xsqrt(x^2+y^2)) ?
The solution to ln(xsqrt(x^2+y^2)) is ln(x)+ln(sqrt(x^2+y^2))